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A Bloom filter is a method for reducing the space (memory) required for representing a set by allowing a small error probability. In this paper we consider a \emph{Sliding Bloom Filter}: a data structure that, given a stream of elements,…

Data Structures and Algorithms · Computer Science 2013-10-10 Moni Naor , Eylon Yogev

Bloom Filter is a probabilistic membership data structure and it is excessively used data structure for membership query. Bloom Filter becomes the predominant data structure in approximate membership filtering. Bloom Filter extremely…

Data Structures and Algorithms · Computer Science 2019-04-01 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

Bloom filters (BF) are widely used for approximate membership queries over a set of elements. BF variants allow removals, sets of unbounded size or querying a sliding window over an unbounded stream. However, for this last case the best…

Data Structures and Algorithms · Computer Science 2020-01-10 Ariel Shtul , Carlos Baquero , Paulo Sérgio Almeida

Bloom filters are space-efficient probabilistic data structures that are used to test whether an element is a member of a set, and may return false positives. Recently, variations referred to as learned Bloom filters were developed that can…

Data Structures and Algorithms · Computer Science 2020-10-06 Kapil Vaidya , Eric Knorr , Tim Kraska , Michael Mitzenmacher

Bloom filters are data structures used to determine set membership of elements, with applications from string matching to networking and security problems. These structures are favored because of their reduced memory consumption and fast…

Data Structures and Algorithms · Computer Science 2019-02-21 Ethan Madison , Zachary Zipper

The Distributed Bloom Filter is a space-efficient, probabilistic data structure designed to perform more efficient set reconciliations in distributed systems. It guarantees eventual consistency of states between nodes in a system, while…

Data Structures and Algorithms · Computer Science 2020-02-20 Lum Ramabaja , Arber Avdullahu

There is a plethora of data structures, algorithms, and frameworks dealing with major data-stream problems like estimating the frequency of items, answering set membership, association and multiplicity queries, and several other statistics…

Data Structures and Algorithms · Computer Science 2021-06-24 Anes Abdennebi , Kamer Kaya

A Bloom filter is a space efficient structure for storing static sets, where the space efficiency is gained at the expense of a small probability of false-positives. A Bloomier filter generalizes a Bloom filter to compactly store a function…

Data Structures and Algorithms · Computer Science 2008-07-08 Denis Charles , Kumar Chellapilla

Bloom filters are widely used data structures that compactly represent sets of elements. Querying a Bloom filter reveals if an element is not included in the underlying set or is included with a certain error rate. This membership testing…

Databases · Computer Science 2022-08-08 Angjela Davitkova , Damjan Gjurovski , Sebastian Michel

This paper presents new alternatives to the well-known Bloom filter data structure. The Bloom filter, a compact data structure supporting set insertion and membership queries, has found wide application in databases, storage systems, and…

Probabilistic filters are approximate set membership data structures that represent a set of keys in small space, and answer set membership queries without false negative answers, but with a certain allowed false positive probability. Such…

Databases · Computer Science 2025-08-14 Johanna Elena Schmitz , Jens Zentgraf , Sven Rahmann

These days, Key-Value Stores are widely used for scalable data storage. In this environment, Bloom filter (BF) serves as an efficient probabilistic data structure for representing sets of keys. They allow for set membership queries with no…

Data Structures and Algorithms · Computer Science 2025-12-16 Paul Walther , Wejdene Mansour , Johann Maximilian Zollner , Martin Werner

With the growing scale of big data, probabilistic structures receive increasing popularity for efficient approximate storage and query processing. For example, Bloom filters (BF) can achieve satisfactory performance for approximate…

Data Structures and Algorithms · Computer Science 2019-12-17 Yue Fu , Rong Du , Haibo Hu , Man Ho Au , Dagang Li

A filter is a widely used data structure for storing an approximation of a given set $S$ of elements from some universe $U$ (a countable set).It represents a superset $S'\supseteq S$ that is ''close to $S$'' in the sense that for $x\not\in…

Data Structures and Algorithms · Computer Science 2024-06-18 Ioana O. Bercea , Jakob Bæk Tejs Houen , Rasmus Pagh

Bloom filter (BF) has been widely used to support membership query, i.e., to judge whether a given element x is a member of a given set S or not. Recent years have seen a flourish design explosion of BF due to its characteristic of…

Data Structures and Algorithms · Computer Science 2019-01-08 Lailong Luo , Deke Guo , Richard T. B. Ma , Ori Rottenstreich , Xueshan Luo

Bloom Filter is extensively deployed data structure in various applications and research domain since its inception. Bloom Filter is able to reduce the space consumption in an order of magnitude. Thus, Bloom Filter is used to keep…

Data Structures and Algorithms · Computer Science 2019-03-18 Ripon Patgiri , Sabuzima Nayak , Samir Kumar Borgohain

Bloom filter is a compact memory-efficient probabilistic data structure supporting membership testing, i.e., to check whether an element is in a given set. However, as Bloom filter maps each element with uniformly random hash functions, few…

Databases · Computer Science 2021-06-15 Rongbiao Xie , Meng Li , Zheyu Miao , Rong Gu , He Huang , Haipeng Dai , Guihai Chen

Learned Bloom Filters, i.e., models induced from data via machine learning techniques and solving the approximate set membership problem, have recently been introduced with the aim of enhancing the performance of standard Bloom Filters,…

Machine Learning · Computer Science 2022-11-29 Dario Malchiodi , Davide Raimondi , Giacomo Fumagalli , Raffaele Giancarlo , Marco Frasca

Applications involving telecommunication call data records, web pages, online transactions, medical records, stock markets, climate warning systems, etc., necessitate efficient management and processing of such massively exponential amount…

Information Retrieval · Computer Science 2012-12-18 Suman K. Bera , Sourav Dutta , Ankur Narang , Souvik Bhattacherjee

We introduce the Deletable Bloom filter (DlBF) as a new spin on the popular data structure based on compactly encoding the information of where collisions happen when inserting elements. The DlBF design enables false-negative-free deletions…

Data Structures and Algorithms · Computer Science 2010-05-04 Christian Esteve Rothenberg , Carlos A. B. Macapuna , Fabio L. Verdi , Mauricio F. Magalhaes
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